You are standing 5 ft from a tree. The angle of elevation to the top of the tree is 60 degrees. How tall is the tree?
What is 8.6603 ft.
100
Find an acute angle in degrees such that sec x = 3
What is 70.5288 degrees
100
Find the amp, period and phase shift of
y=-3sin(5x + pi/4) - 2
What is
amp = 3
period = 2pi/5
phase shift = -pi/20
100
Given x is an acute angle and tan x = 1/2, find sin x
What is sqrt 5 / 5
100
Convert y = 6 to ploar form
What is r=6cscθ
200
What is the linear speed of a 12 in tire that is rotating at 30 rev per min in ft per sec.
What is What is pi/2 or 1.5708 ft/sec.
200
Fins all solution to 2sinx + sqrt 3 = 0
What is 4pi/3 + 2kpi and 5pi/3 + 2kpi
200
InvCos(Cos(4pi/3)) =
What is 2pi/3
200
1 - 2 sin^2 x =
What is cos(2x)
200
Convert x^2 +y^2 =5y to polar
What is r = 5 sin θ
300
You leave lansing and travel due east for 10 miles. Then you turn N20degE and travel another 15 miles. How far are you from lansing?
What is 20.6786 miles
300
Solve tan x = -2 in [0, 2pi)
What is 2.0344 and 5.1760 radians
300
Find InvCos( -2/5) in radians.
What is the difference between solving cosx = -2/5 and
Invcos(-2/5)?
What is 1.9823 radians
Cos x = -2/5 has 2 answers, one in QII and one in QIII.
InvCos(-2/5) has only one answer in QII.
300
Given cosx = -1/3 and cot x >0, find the exact value of sin(2x)
What is 4 sqrt (2) / 9
300
Find the center, vertices and foci of
(x+1)^2 / 4 - (y-6)^2 / 9 = 1
What is
center (-1, 6)
vertices (-3, 6) and (1, 6)
foci (1-sqrt 13, 6) and (1+sqrt 13, 6)
400
Bonus: You ask another team to solve one question from the in class worksheet. If they get it correct, you both get 400 pts. If they get it incorrect, they lose 400 points and you get to try!
What is ...
400
Solve 2 sin^2 x = sin x in [0, 2pi)
What is 0, pi/6, 5pi/6, pi
400
Simplify sec(Invtan(x/5))
What is sqrt(x^2 + 25)/5
400
Simplify tanx+cotx in terms of sec or csc only.
What is 2 csc(2x)
400
Find the exact sum of the series starting at k=5 to infinity SUM 3(1/4)^k
What is 1/256
500
A hiker is standing x feet away from the tree’s base of a tree looks up and sees the top of the tree at an angle of elevation of 40°. He goes another 100 feet away and takes another sighting. This time the angle of elevation to the top of the tree is 35°. What is the height of the tree?
What is 423.0218 ft
500
Solve 2cosx + sec x = -3
What is 2pi/3 + 2kpi, 4pi/3+ 2kpi and pi+2kpi
500
What are the equations of the asymptotes and the period of
y=3tan(2x - pi/4) + 1
What is
asymptotes: x=-pi/8 + kpi/2 and x = 3pi/8 + kpi/2
period: pi/2
500
Given sin x = -3/5 and pi less x less 3pi/2. Find the exact value of sin(x/2)
What is 3 sqrt (10)/10
500
Bonus: You ask another team to solve one question from the in class worksheet. If they get it correct, you both get 500 pts. If they get it incorrect, they lose 500 points and you get to try!